Density oscillations generated by vortex rings and their effect on scintillation of a Gaussian beam

Fedor V. Shugaev; Evgeni N. Terentiev; Ludmila S. Shtemenko; Oxana A. Nikolaeva

doi:10.1117/12.2029156

17 October 2013 Density oscillations generated by vortex rings and their effect on scintillation of a Gaussian beam

Fedor V. Shugaev, Evgeni N. Terentiev, Ludmila S. Shtemenko, Oxana A. Nikolaeva

Proceedings Volume 8890, Remote Sensing of Clouds and the Atmosphere XVIII; and Optics in Atmospheric Propagation and Adaptive Systems XVI; 88901A (2013) https://doi.org/10.1117/12.2029156
Event: SPIE Remote Sensing, 2013, Dresden, Germany

Abstract

Density oscillations in the vicinity of vortex rings in air have been investigated. The calculations were fulfilled on the basis of the Navier-Stokes equations. We used series expansions of unknown functions in powers of a parameter which characterizes vorticity. As a result, we got a non-uniform system of parabolic differential equations with constant coefficients. The frequency of oscillations depends only on the dimensions and the shape of the ring in the case of small vorticity (weak turbulence). We analyzed oscillations generated by rings with circular cross-section. The size of the rings varied in a wide range. It includes inertial range and dissipation range. It is interesting to note that first of all the amplitude of oscillations increases, reaches its maximum and then decreases up to zero. These data can be used for modeling the propagation of a Gaussian beam through the turbulent atmosphere. We analyzed intensity fluctuations (scintillations) of the beam after the passage through the non-uniform region which contains vortex rings. We considered an ill-posed problem (that of super-resolution) connected with image restoration. In such cases if the input data are slightly changed, the solution may vary considerably. The proposed procedure is as follows. We change the instrument function in such a manner that it will be reversible one within the limits of accuracy. The procedure enables to solve some problems referring to the turbulent atmosphere. Ke

Citation Download Citation

Fedor V. Shugaev, Evgeni N. Terentiev, Ludmila S. Shtemenko, and Oxana A. Nikolaeva "Density oscillations generated by vortex rings and their effect on scintillation of a Gaussian beam", Proc. SPIE 8890, Remote Sensing of Clouds and the Atmosphere XVIII; and Optics in Atmospheric Propagation and Adaptive Systems XVI, 88901A (17 October 2013); https://doi.org/10.1117/12.2029156

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Atmospheric propagation

Gaussian beams

Scintillation

Super resolution

Atmospheric modeling

Beam propagation method

Data modeling

Show All Keywords

Keywords/Phrases

Search In:

Publication Years